We characterize the representability of an interval order on a topological space through a pair of continuous real-valued functions which in addition represent two total preorders associated to the given interval order. Such a continuous representation is obtained by using the notion of a decreasing scale.

Continuous representation of interval orders by means of decreasing scales

BOSI, GIANNI
2006-01-01

Abstract

We characterize the representability of an interval order on a topological space through a pair of continuous real-valued functions which in addition represent two total preorders associated to the given interval order. Such a continuous representation is obtained by using the notion of a decreasing scale.
2006
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/1690976
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